14340645000 has 960 divisors, whose sum is σ = 58335076800. Its totient is φ = 3265920000.

The previous prime is 14340644993. The next prime is 14340645047. The reversal of 14340645000 is 54604341.

14340645000 is a `hidden beast` number, since 14 + 3 + 4 + 0 + 645 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 387584982 + ... + 387585018.

It is an arithmetic number, because the mean of its divisors is an integer number (60765705).

Almost surely, 2^14340645000 is an apocalyptic number.

14340645000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29167538400).

14340645000 is an abundant number, since it is smaller than the sum of its proper divisors (43994431800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14340645000 is a wasteful number, since it uses less digits than its factorization.

14340645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14340645000 in words is "fourteen billion, three hundred forty million, six hundred forty-five thousand".